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Finding the Third Proportional to 476,123,567,206 and 1,027,988,046,764

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Solution

The third proportional to 476,123,567,206 and 1,027,988,046,764 is: 2,219,506,651,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,123,567,206 : 1,027,988,046,764 = 1,027,988,046,764 : x
  2. Step 2: Convert to fraction form
    476,123,567,206/1,027,988,046,764 = 1,027,988,046,764/x
  3. Step 3: Cross multiply
    476,123,567,206x = 1,027,988,046,764 × 1,027,988,046,764
  4. Step 4: Simplify right side
    476,123,567,206x = 1,056,759,424,289,663,898,091,520
  5. Step 5: Solve for x
    x = 1,056,759,424,289,663,898,091,520/476,123,567,206
  6. Step 6: Final answer
    x = 2,219,506,651,374.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.